Question

In: Operations Management

In a trucking company, terminal docks include casual workers who are hired temporarily to account for...

In a trucking company, terminal docks include casual workers who are hired temporarily to account for peak loads. The minimum demand for causal workers during the 7 days of the week (starting on Monday) is 20,14,10,15,18,10 and 12 workers. Each worker is contracted to work 5 consecutive days. Develop the LP model that determines an optimal weekly hiring practice of causal workers for the company.     

Solutions

Expert Solution

Decision variables

x1 = Casual Workers starting on Monday

x2 = Casual Workers starting on Tuesday

x3 = Casual Workers starting on Wednesday

x4 = Casual Workers starting on Thursday

x5 =  Casual Workers starting on Friday

x6 = Casual Workers starting on Sat

x1 = Casual Workers starting on Sunday

Objective Function

Minimize Z = (x1 + x3 + x3 + x4 + x5 + x6 + x7)

Subject to

x1 + x4 + x5 + x6 + x7 >= 20

x2 + x5 + x6 + x7 + x1 >= 14

x3 + x6+ x7+ x1 + x2 >= 10

x4+ x7 + x1+ x2 + x3 >= 15

x5 + x1 + x2 + x3 + x4 >= 18

x6 + x2 + x3 + x4 + x5 >= 10

x7 + x3 + x4 + x5 + x6 >= 12

x1 > = 0 , x2 >= 0 , x3 >= 0 , x4 >= 0 , x5 >= 0, x6 >= 0 , x7 >= 0

Solution

Formula

Solver

keosha answered 1 month ago
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